Question

Chocolate Box Company is going to make open-topped boxes out of 8 × 15-inch rectangles of cardboard by cutting squares out of the corners and folding up the sides. What is the largest volume box it can make this way? (Round your answer to the nearest tenth.)

__________inch^3

Answer 1

use volume of cuboid formula

Answer 2

\[l*b*h\]

Answer 3

sp f(X) = 36x^2 + 16/x

Answer 4

f'(x) = 72x - 16/x^2 = 0

Answer 5

72x = 16/x^2

Answer 6

That's a maxima minima problem, one of the applications of differential calculus. Study it and you'll get the answer :)